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Popular >

|4x+3|<2

Solution

∣ 4 x + 3 ∣ < 2

Solution

- \frac{5}{4} < x < - \frac{1}{4}

+2

Interval Notation

(- \frac{5}{4}, - \frac{1}{4})

Decimal Notation

- 1.25 < x < - 0.25

Solution steps

∣ 4 x + 3 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < 4 x + 3 < 2

4 x + 3 > - 2 and 4 x + 3 < 2

x > - \frac{5}{4} and x < - \frac{1}{4}

Merge Overlapping Intervals

- \frac{5}{4} < x < - \frac{1}{4}

Popular Examples

simplify 16x^7*48x^4 simplify

16 x^{7} \cdot 48 x^{4}

3 x + 7 = 52 - 2 x

simplify 1-(sqrt(3))/2 simplify

1 - \frac{3}{2}

factor x^2+14x+40 factor

x^{2} + 14 x + 40

5 x^{2} + x - 2 = 0

Frequently Asked Questions (FAQ)

What is |4x+3|<2 ?
The solution to |4x+3|<2 is -5/4 <x<-1/4